\(\newcommand{\p}[1]{\frac{\partial }{\partial #1}}\) \(\newcommand{\pp}[2]{\frac{\partial #1}{\partial #2}}\) \(\newcommand{\dd}[2]{\frac{d #1}{d #2}}\) \(\newcommand{\h}{\frac{1}{2}}\) \(\newcommand{\op}[1]{\operatorname{#1}}\)
8.7.3.7. Chlorophyll synthesis¶
8.7.3.7.1. With N quota:¶
\[S^{\op{Chl}}_j = \rho^{\op{Chl}}_j U^{\mathrm{N}}_j\]
where
\[\begin{split}\rho^{\op{Chl}}_j = \begin{cases}
\op{Chl\text{:}n}^{\max}_j
\dfrac{P^{\mathrm{C}}_j}
{\langle\alpha I\rangle_j \cdot \op{Chl\text{:}C}_j}
& \text{if } \langle\alpha I\rangle_j \cdot \op{Chl\text{:}C}_j > 0, \\
\op{Chl\text{:}n}^{\max}_j
& \text{else.}
\end{cases}\end{split}\]
8.7.3.7.2. Without N quota:¶
– with DARWIN_GEIDER_RHO_SYNTH:
\[S^{\op{Chl}}_j = \rho^{\op{Chl}}_j \cdot P^{\mathrm{C}}_j {c}_j
+ \tau^{\op{acclim}}_j (\op{Chl\text{:}C}_j^{\op{acclim}} - \op{Chl\text{:}C}_j) {c}_j\]
where
\[\begin{split}\rho^{\op{Chl}}_j = \begin{cases}
\op{Chl\text{:}C}^{\max}_j \dfrac{P^{\mathrm{C}}_j}
{\langle\alpha I\rangle_j \op{Chl\text{:}C}^{{{\text{acclim}}}}_j}
& \text{if } \langle\alpha I\rangle_j > 0
\text{ and } \op{Chl\text{:}C}^{{{\text{acclim}}}}_j > 0, \\
0 & \text{else.}
\end{cases}\end{split}\]
– else
\[S^{\op{Chl}}_j = \op{Chl\text{:}C}_j^{\op{acclim}} \cdot P^{\mathrm{C}}_j {c}_j
+ \tau^{\op{acclim}}_j (\op{Chl\text{:}C}_j^{\op{acclim}} - \op{Chl\text{:}C}_j) {c}_j\]
The acclimated chlorophyll-c ratio, \(\op{Chl\text{:}C}_j^{\op{acclim}}\), is defined in (8.55).
8.7.3.7.3. Without Chl quota,¶
current chl, i.e., \({c}_j\cdot\op{Chl\text{:}C}_j\), is stored for the next time step.
Trait |
Param |
Symbol |
Default |
Units |
Description |
|---|---|---|---|---|---|
Chl:n\(^{\op{max}}_j\) |
3.00 |
mg Chl / mmol N |
max Chl:N ratio for Chl synthesis following Moore 2002 |
||
\(\tau^{\op{acclim}}\) |
1/20days |
1/s |
rate of chlorophyll acclimation |